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10378965324 = 223713217291483
BaseRepresentation
bin10011010101010001…
…00111000101001100
3222210022212001211010
421222220213011030
5132224003342244
64433521125220
7515125515060
oct115250470514
928708761733
1010378965324
1144467232a2
122017a89810
13c95375700
1470660daa0
1540b2b8eb9
hex26aa2714c

10378965324 has 288 divisors, whose sum is σ = 32849349120. Its totient is φ = 2485776384.

The previous prime is 10378965319. The next prime is 10378965343. The reversal of 10378965324 is 42356987301.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6997887 + ... + 6999369.

It is an arithmetic number, because the mean of its divisors is an integer number (114060240).

It is a 1-persistent number, because it is pandigital, but 2⋅10378965324 = 20757930648 is not.

Almost surely, 210378965324 is an apocalyptic number.

10378965324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10378965324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16424674560).

10378965324 is an abundant number, since it is smaller than the sum of its proper divisors (22470383796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10378965324 is a wasteful number, since it uses less digits than its factorization.

10378965324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 10378965324 in words is "ten billion, three hundred seventy-eight million, nine hundred sixty-five thousand, three hundred twenty-four".